Explore BrainMass

Explore BrainMass

    Find General Solutions to a 2nd and 4th Order ODE

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A) y'''' - 11y''' +45y"-81y'+54y = (t+1)e^(3t)

    b) y''+y=tcost

    © BrainMass Inc. brainmass.com March 4, 2021, 6:20 pm ad1c9bdddf
    https://brainmass.com/math/trigonometry/general-solutions-order-ode-40462

    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    General solution to a 2nd + 4th order DE
    ________________________________________
    a) y'''' - 11y''' +45y"-81y'+54y = (t+1)e^(3t)
    Solution. The characteristic equation is

    Factoring it, we get

    So, we get

    So, the general solution to ODE: y'''' - 11y''' +45y"-81y'+54y =0 is

    where a,b,c and d are constants.

    Now in order to get the general solution to
    y'''' - 11y''' +45y"-81y'+54y = ...

    Solution Summary

    General Solutions to a 2nd and 4th Order ODE are found. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT